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Simplifying 5(g + -2) + 6 = 6(g + -4) Reorder the terms: 5(-2 + g) + 6 = 6(g + -4) (-2 * 5 + g * 5) + 6 = 6(g + -4) (-10 + 5g) + 6 = 6(g + -4) Reorder the terms: -10 + 6 + 5g = 6(g + -4) Combine like terms: -10 + 6 = -4 -4 + 5g = 6(g + -4) Reorder the terms: -4 + 5g = 6(-4 + g) -4 + 5g = (-4 * 6 + g * 6) -4 + 5g = (-24 + 6g) Solving -4 + 5g = -24 + 6g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6g' to each side of the equation. -4 + 5g + -6g = -24 + 6g + -6g Combine like terms: 5g + -6g = -1g -4 + -1g = -24 + 6g + -6g Combine like terms: 6g + -6g = 0 -4 + -1g = -24 + 0 -4 + -1g = -24 Add '4' to each side of the equation. -4 + 4 + -1g = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -1g = -24 + 4 -1g = -24 + 4 Combine like terms: -24 + 4 = -20 -1g = -20 Divide each side by '-1'. g = 20 Simplifying g = 20
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